Multi-scale analysis for wave problems with disparate propagation speeds

Article type: Research Article

Authors: Bostan, Mihaï^{; *}

Affiliations: Aix Marseille Université, CNRS, Centrale Marseille, Institut de Mathématiques de Marseille, UMR 7373, Château Gombert 39 rue F. Joliot Curie, 13453 Marseille, France. E-mail: mihai.bostan@univ-amu.fr

Correspondence: [*] Corresponding author. E-mail: mihai.bostan@univ-amu.fr.

Abstract: The subject matter of this work concerns the asymptotic behavior of the wave problems, when the propagation speed in one direction is much larger than in the other directions. We establish weak and strong convergence results. We appeal to homogenization arguments, based on average operators with respect to unitary groups.

Keywords: Average operators, ergodic means, unitary groups, homogenization

DOI: 10.3233/ASY-201614

Journal: Asymptotic Analysis, vol. 122, no. 1-2, pp. 131-164, 2021